The variables y and x^2 are directly
proportional. It is given that the difference
between the values of ý when x = 2 and x = 5
is 20. Form an equation relating y and x.

Answers

Answer 1

Answer:

y = [tex]\frac{20}{21}[/tex] x²

Step-by-step explanation:

Given that y and x² are directly proportional then the equation relating them is

y = kx² ← k is the constant of proportion

When x = 2

y = k × 2² = 4k

When x = 5

y = k × 5² = 25k

Then

25k - 4k = 20 ( difference between values is 20 )

21k = 20 ( divide both sides by 21 )

k = [tex]\frac{20}{21}[/tex]

y = [tex]\frac{20}{21}[/tex] x² ← equation of proportion


Related Questions

Find the measure of angle 3 if the measure of angle 8 is 40
degrees.

Answers

Answer:

3=140°

Step-by-step explanation:


Standard fom: 4x20x² 24x
what is the Leading coefficient
Explain the behavior base on the
degree and leading coefficient?

Answers

Answer:

that is behavior that coefficient

What is the volume of this sphere?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

radius is 4 meters long.

Answers

Answer:

Step-by-step explanation:

raffle whose 1 ina half.

Which graph shows the solution to the inequality (x+3/22?

Answers

Answer:

No 2

Step-by-step explanation:

What is the slope of the line through the points (-2, -1) and (4, 3)?

Answers

Answer: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...

Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)

Subtract the values in parentheses to get 4/6

Simplify the fraction to get the slope of  2/3

Campus sold 400 tickets to a varsity basketball game. Tickets are were $5 for students / children tickets and $9 for adults. The total ticket receipts for the game were $2,632. Using x for student/children tickets and y for adult tickets ; write a system of equations for this scenario.

Answers

Answer:

x + y = 400

5x + 9y = 2632

Step-by-step explanation:

help please if you can

Answers

Answer:

Ice, ig.

It is made up of the remaining part of the solar system, after all.

Hope it helps you

Please mark as brainliest

Need help asap please and thank you

Answers

Answer:

(x=4)^2=23; the third one

Step-by-step explanation:

When you solve it using the quadratic formula it's the same as the original answer.

If PT=5x+3 and TQ=7x−9, what is PT?

Answers

PT=33
Explanation: 5x+3=7x-9
1) Subtract 5x from 7x
3=2x-9
2) Add 9
12=2x
3) Divide.
12/2=6 X=6

Plug into PT equation: 6 x 5 + 3 = 33

Hope this helps! :)

in a 3-digit number, the hunderds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sun of the digits is 11, find the number

Answers

Answer:362

Step-by-step explanation:

So, the ones digit is 2. Since the hundreds digit is one more, it's 3. And because the tens is twice the hundreds, it's 6. The number is 362

I NEEDDD HELPPPPP PLEASEEE

Answers

Answer:

#3

Hope this helped! Please give brainliest to let me know <3

Step-by-step explanation:

Presale tickets (p) are each worth $7: represented in the equation as 7p.

Door tickets (d) are each worth $10: represented in the equation as 10d.

They sold 345 tickets, so p+d=345. They collected $2550, so 7p+10d=2550.

Final answer:

(3) [tex]\left \{ {{7p+10d=2550} \atop {p+d=345}} \right.[/tex]

A submarine begins its descent from the surface of the water and dives 20 feet for each minute. What would be the depth of the submarine after 2/3 hours?

Answers

Answer:

Distance = speed * time

Convert feet to meter (C units) = about 6

Convert hours to second (C units) = about 2399

Distance = 6 * 2399

= 1439 meters

4721 foot

Write the slope-intercept form of the equation for the line

Answers

The third answer is correct

Hope this helps ;)

Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. -2x+5<3

Answers

Step-by-step explanation:

-2x+5<3

-2x>3-5

-2x>-2

Divide both sides by -2

x>1

Answer:

-2x+5<3

-2x<-2

x<1

Solve for x:−2(x+9)=−1(x+−1)+2

Answers

Answer:

A

Step-by-step explanation:

expanding the bracket, we would have

-2x -18 = -x+1+2

-2x+x= 3 +18

-x=21

x=-21

Answer:

A

Step-by-step explanation:

−2(x+9)=−1(x+−1)+2

Use distributive property

-2x - 18 = -1x + 1 +2

-2x - 18 = -1x + 3

      +18         +18

-2x = -1x +21

+1x    +1x

___________

-x = 21

we need to have a positive x so multiply x by -1. -x times -1 = x

What we do on the left side has to happen to the right side too

So, 21 times -1 = -21

Therefore, x = -21

Hope this helps :)

hey you guys its your favorite gal, hopin in to ask a couple more questions for the better in me (im honestly just asking for points and for answers, thanks for being loyal as always )

Select the correct answer.
Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second?
A.
15 + d = 100
B.
100 + d = 15
C.
d × 15 = 100
D.
d × 100 = 15

Answers

Answer:

c

Step-by-step explanation:

We are dividind how 100 can fit in 15 seconds

which is 100 /15

therefore when C when u tak it to the other side it divides 100 in 15

d×15=100

d=100/15

press the image to see the whole question ​

Answers

Let x be the hottest temperature.

Equation: x - (-35.67) = 148.98

So,

x - (-35.67) = 148.98

=> x + 35.67 = 148.98

=> x = 148.98 - 35.67

=> x = 113.31

in math what are 3 ways numbers are related

Answers

Answer:Recognise three numbers that are related through the operations of addition and subtraction.

Recognise that there are two related addition and two subtraction equations in a 'family of facts'.

Write and read sets of related addition and subtraction equations.

Step-by-step explanation:that is all

Suppose you are making a deposit into your checking account. You have a check for $350, cash and coins totaling $225 and you want to receive a $100 bill. What is the total deposit amount? (Show your work)

Answers

Answer:

The total deposit amount is 225.

Step-by-step explanation:

-350 + 225 + x = 100

-125 + x = 100

x = 225

Hope this helps. :)

Stay safe, happy, and healthy. Have a great day!

solve the simultaneous linear algebra quadratic equation 2x-y=8 3x-y=17​

Answers

Answer:

2x-y=8

(3x-y=17)*_1

2x-y=8

-3x+y=-17

#-x=-9, x=9 & y=-10

Answer:

x = 9  and y  = 10

Step-by-step explanation:

Subtract the second equation from 1 as in doing so the y will get cancelled as they are of the opposite sign.

2x - y = 8

-3x + y = -17

-----------------

- x = - 9

Therefore,

x = 9

Now we will add the value of x to any of the equation from the question.

2x - y = 8

2(9) - y = 8

18 - y = 8

Therefore,

y = 10

which comparison is correct?
140.07 < 140.7
140.07=140.7
140.07 > 140.7

Answers

The answer is 140.07< 140.7 I hope I help

Answer:

40.07 < 140.7

step by step explanation:it's just correct I think

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?
O y = -3x - 2
O y = -3x + 2
O y = 3x + 2
O y = 3x - 2

Answers

⊹˚ʚ ❑Answer︰The slope is 3!

⊹˚ʚ ❑Explanation︰use the formula y2-y1 over x2-x1

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

Answer:

y = 3x - 2.

Step-by-step explanation:

The slope of the line (m) = (10-4)/(4-2)

= 3.

y - y1 = m(x - x1)

y - 10 = 3(x - 4)

y = 3x - 12 + 10

y = 3x - 2.

If d= the number of dogs, which variable expression represents he phase below?

the sum of number of dogs and the 6 cats

Answers

Answer:

d+6

Step-by-step explanation:

Because d is representing dogs and sum means add, and it's asking to add the number of cats which is 6 so it's d+6

please help me with this!

Answers

5*2=10. 2*3=6 2*3=6. 3*5=15. 3*5=15. 5*2=10

10+10+6+6+15+15= 62 units^2

What is the solution to 4 x + 6 less-than-or-equal-to 18?
x less-than-or-equal-to 3
x less-than-or-equal-to 6
x less-than-or-equal-to 48

Answers

Answer:

Answer

4.0/5

58

amna04352

Genius

6.9K answers

39.6M people helped

Answer:

x-less than-or-equal-to 3

Step-by-step explanation:

4x + 6 < 18 (less than or equal to)

4x < 12 (less than or equal to) x < 3 (less than or equal to)

Which relation is a function? A. (1,0) (3,0) (1,1) (3,1) (1,3). B. (1,1) (2,2) (3,3) (4,4) (5,8). C. (2,7) (6,5) (4,4) (3,3) (2,1). D. (9, -3) (9,3) (4, -2) (4,2) (0,0)

Answers

Answer:

a

Step-by-step explanation:

because it's a relation function

Which value, in order, will complete the table? ​

Answers

Answer: The answer is the first choice.

Explanation:

Because you must find the sin of the x values in the table.

Sin(7pi/6) = -1/2

Sin(5pi/4) = -sqrt 2/2

Sin(4pi/3) = -sqrt 3/2

help gggggggggggggggggggggggggggggggggggggg

Answers

Answer:

22 units

The correct answer is A

I believe the answer to this is 22 units.

I hope this helps! :D

combine like terms, x-3+6

Answers

Answer:

x - 9

Step-by-step explanation:

That should be it, and let me know if I'm wrong. x is by itself and if you were to add 3 and 6 you'd get 9. So x - 9

x + 3. My explanation is in the picture.
Hope this helps!

Math question please show work due today last day to submit Assignments or I fail please help

Answers

Answer:

[tex]\$128.43[/tex]

Step-by-step explanation:

Since the cost for border paper is given in terms of feet and the dimensions of the gym are given in meters, we want to convert them to the same unit. Let's choose to convert feet to meters since that would be only one conversion:

[tex]15\:\mathrm{ft}=4.572\:\mathrm{m}[/tex]

Therefore, the cost of border paper is $6.99 pet 15 feet or $6.99 pet 4.572 meters.

Since the gym is rectangular, the gym's perimeter is equal to:

[tex]p=15+27+15+27,\\p=2(15)+2(27)=84\:\mathrm{m}[/tex]

Therefore, the cost of the total border paper for the gym is equal to:

[tex]\text{cost}=\frac{84}{4.572}\cdot 6.99\approx \boxed{\$128.43}[/tex]

QW                                                                           QW . R R RR . R R RR

                           

Please report my answer

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